All categories

4 years ago

∆ABC rotates around point D to create ∆A′B′C′.

Mathematics

1 answer:

tekilochka [14]4 years ago

8 0

Given that ∆ABC rotates around point D to create ∆A′B′C′.

Line BC is a horizontal line such that the length of BC is 2 units. Also line AB is a vertical line such that the length of AB is 3 units.

Based on the position of B'C', shown in the figure, the coordinates of A′ are will be vertical to the cordinate of B' going downwards with a length of 3 units. This means that the x-value of the coordinate of A' is the same as that of B' but the y-value of the coordinate of A' is 3 units less than that of B'.

The coordinate of B' is (4, 4).
Therefore, the coordinate of A' is (4, 4 - 3) = (4, 1).

You might be interested in

2. If a person is walking at a pace of 2/3 mile every 2/5 hour, how long would it take

viva [34]

It would take them a half and hour

3 0

3 years ago

The product of 3 and a number x is 2323 .

Nostrana [21]

1. 774
2.x=1
3. x=1
4. x=1

4 0

3 years ago

The least common denominator of two fractions is 28. If you substract the two deniminators, their difference is 10. What are the

DanielleElmas [232]

The denominators are 14 and 4.

5 0

3 years ago

Factor the polynomial 3x^2+6x

saul85 [17]

Answer:

1. $3x(x+2)$

Step-by-step explanation:

1: Find the GCF (Greatest Common Factor) of the polynomial

Answer: 3x

Then use it to factor out 3x^2 + 6x

3x(x + 2)

6 0

3 years ago

Solve for x: x^2 + 14x + 49

Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0

3 years ago